Area of equilateral triangle
(s²√3)/4
The formula for the area of an equilateral triangle is (a^2√3)/4, where ‘a’ is the length of each side of the equilateral triangle.
To calculate the area of an equilateral triangle, we need to follow these steps:
Step 1: Determine the length of any side (a) of the equilateral triangle.
Step 2: Substitute the value of ‘a’ in the formula for the area of an equilateral triangle, which is (a^2√3)/4.
Step 3: Simplify the equation by squaring ‘a’, multiplying it with √3 and dividing the result by 4.
Step 4: Round the answer to the nearest hundredth, if required.
For example, let’s assume the length of the side of an equilateral triangle is 5 cm. To find its area, we will follow these steps:
Step 1: The length of any side (a) is 5 cm.
Step 2: Substituting the value of ‘a’ in the formula gives: (5^2√3)/4
Step 3: Simplifying the equation we get: (25√3)/4
Step 4: Rounding the answer to the nearest hundredth, we get the area of the equilateral triangle as 10.83 cm^2.
Therefore, the area of an equilateral triangle with a side length of 5 cm is 10.83 cm^2.
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